Problems in Real and Complex Analysis

  • Bernard R. Gelbaum

Part of the Problem Books in Mathematics book series (PBM)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Real Analysis: Problems

    1. Front Matter
      Pages 1-1
    2. Bernard R. Gelbaum
      Pages 3-11
    3. Bernard R. Gelbaum
      Pages 12-29
    4. Bernard R. Gelbaum
      Pages 30-39
    5. Bernard R. Gelbaum
      Pages 40-47
    6. Bernard R. Gelbaum
      Pages 48-69
    7. Bernard R. Gelbaum
      Pages 70-91
  3. Complex Analysis: Problems

    1. Front Matter
      Pages 93-93
    2. Bernard R. Gelbaum
      Pages 95-101
    3. Bernard R. Gelbaum
      Pages 102-105
    4. Bernard R. Gelbaum
      Pages 106-109
    5. Bernard R. Gelbaum
      Pages 110-114
    6. Bernard R. Gelbaum
      Pages 115-120
    7. Bernard R. Gelbaum
      Pages 121-123
    8. Bernard R. Gelbaum
      Pages 124-126
    9. Bernard R. Gelbaum
      Pages 127-131
    10. Bernard R. Gelbaum
      Pages 132-135
  4. Real Analysis: Solutions

    1. Front Matter
      Pages 137-137
    2. Bernard R. Gelbaum
      Pages 139-152

About this book

Introduction

In the pages that follow there are: A. A revised and enlarged version of Problems in analysis (PIA) . (All typographical, stylistic, and mathematical errors in PIA and known to the writer have been corrected.) B. A new section COMPLEX ANALYSIS containing problems distributed among many of the principal topics in the theory of functions of a complex variable. C. A total of 878 problems and their solutions. D. An enlarged Index/Glossary and an enlarged Symbol List. Notational and terminological conventions are to be found for the most part under Conventions at the beginnings of the chapters. Spe­ cial items not included in Conventions are completely explained in the Index/Glossary. The audience to which the current book is addressed differs little from the audience for PIA. The background of the reader is assumed to include a knowledge of the basic principles and theorems in real and complex analysis as those subjects are currently viewed. The aim of the problems is to sharpen and deepen the understanding of the mechanisms that underlie modern analysis. I thank Springer-Verlag for its interest in and support of this project. State University of New York at Buffalo B. R. G. v Contents The symbol alb under Pages below indicates that the Problems for the section begin on page a and the corresponding Solutions begin on page b. Thus 3/139 on the line for Set Algebra indicates that the Problems in Set Algebra begin on page 3 and the corresponding Solutions begin on page 139.

Keywords

Complex analysis Convexity calculus measure real analysis

Authors and affiliations

  • Bernard R. Gelbaum
    • 1
  1. 1.Department of MathematicsState University of New York (SUNY)BuffaloUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-0925-6
  • Copyright Information Springer Science+Business Media New York 1992
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6949-6
  • Online ISBN 978-1-4612-0925-6
  • Series Print ISSN 0941-3502
  • About this book